This is an incomplete problem
The missing angle is 53 degrees (82+45=127) (180-127=53)
Answer:
<u>x² - 22x + y² - 6y + 121 = 0</u>
Step-by-step explanation:
<u>General Form of Equation</u>
<u>Solving</u>
- (x - 11)² + (y - 3)² = (3)²
- x² - 22x + 121 + y² - 6y + 9 = 9
- <u>x² - 22x + y² - 6y + 121 = 0</u>
Check the picture below.
let's recall that 2π is a full go-around or namely a revolution
You can observe that angle 1 and angle with 47° are inside a parallelogram.
Consider that the sum of the internal angles of a parallelogram is 360°.
Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.
Consider that angle down right side is congruent with angle 1, then, they have the same measure.
You can write the previous situation in the following equation:
47 + 47 + ∠1 + ∠1 = 360 simplify like terms
94 + 2∠1 = 360 subtract both sides by 94
2∠1 = 360 - 94
2∠1 = 266 divide by 2 both sides
∠1 = 266/2
∠1 = 133
Hence, the measure of angle 1 is m∠1 = 133°
